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Finding the Fourth Proportional to 16,273.70, 22,457.35 and 9,199.97

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Solution

The fourth proportional to 16,273.70, 22,457.35 and 9,199.97 is: 12,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.70 : 22,457.35 = 9,199.97 : x
  2. Step 2: Convert to fraction form
    16,273.70/22,457.35 = 9,199.97/x
  3. Step 3: Cross multiply
    16,273.70x = 22,457.35 × 9,199.97
  4. Step 4: Simplify right side
    16,273.70x = 206,606,946.28
  5. Step 5: Solve for x
    x = 206,606,946.28/16,273.70
  6. Step 6: Final answer
    x = 12,695.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.